Small Seifert fibered surgery on hyperbolic pretzel knots

Meier, Jeffrey¹

¹Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA

Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 439-487

Résumé

We complete the classification of hyperbolic pretzel knots admitting Seifert fibered surgeries. This is the final step in understanding all exceptional surgeries on hyperbolic pretzel knots. We also present results toward similar classifications for nonpretzel Montesinos knots of length three.

Détail

DOI : 10.2140/agt.2014.14.439

Classification : 57M25, 57M50
Keywords: Dehn surgery, Seifert fibered space, Montesinos knots

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